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Finding the Third Proportional to 98,103 and 205,089

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Solution

The third proportional to 98,103 and 205,089 is: 428,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,103 : 205,089 = 205,089 : x
  2. Step 2: Convert to fraction form
    98,103/205,089 = 205,089/x
  3. Step 3: Cross multiply
    98,103x = 205,089 × 205,089
  4. Step 4: Simplify right side
    98,103x = 42,061,497,921
  5. Step 5: Solve for x
    x = 42,061,497,921/98,103
  6. Step 6: Final answer
    x = 428,748.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.